A cup-cap duality in Koszul calculus - Université Claude Bernard Lyon 1 Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2022

A cup-cap duality in Koszul calculus

Résumé

We introduce a cup-cap duality in the Koszul calculus of N-homogeneous algebras. As an application, we prove that the graded symmetry of the Koszul cap product is a consequence of the graded commutativity of the Koszul cup product. We propose a conceptual approach that may lead to a proof of the graded commutativity, based on derived categories in the framework of DG algebras and DG bimodules. Various enriched structures are developed in a weaker situation corresponding to N>2.

Dates et versions

hal-03668800 , version 1 (16-05-2022)

Identifiants

Citer

Andrea Solotar, Roland Berger. A cup-cap duality in Koszul calculus. 2022. ⟨hal-03668800⟩
16 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More